The red point is on which part of the xy-plane?
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To find the x-coordinate of a point on the xy-plane, you look at the horizontal distance of the point from the y-axis. The y-coordinate of a point on the xy-plane is the vertical distance of the point from the x-axis.
Inequalities are defining part of the plane So either they intersect in infinitely many point (either in a part of the plane or on a line) or they don't intersect 1 - zero solution x+y > 1 and x+y <0 2 - infinitely many solution x+y >2 and x + y > 3 (a part of the plane) x+y >=2 and x+y <= 2 (a line)
(-y, x) is generally a point in the Cartesian plane - not a vector nor a scalar. You can have a vector going from any point in the plane to the point (-y, x) but that is not the same thing.
Any point on the x-axis.
The x-coordinate is the horizontal part of what is known as the cartesian plane, which is the 2D representation of dimensioning. This is a cartesian plane: /\ <------------- that's an arrow, which means it extends indefinitely. | | | <-----------|----------> X ( this is the x coordinate, the horizontal part of the cartesian plane) | | | V Y (This is the y coordinate, the vertical part) jhj